« Introduction à la thermodynamique/Exercices/Coefficients thermoélastiques » : différence entre les versions
Contenu supprimé Contenu ajouté
N |
m \chi_T |
||
Ligne 67 :
:::: <math> \left( \frac{\partial V }{\partial P} \right)_{S} = - \frac{ \left( \frac{\partial S }{\partial P} \right)_{V} }{ \left( \frac{\partial S }{\partial V} \right)_{P}} = - \frac{ \left( \frac{\partial S }{\partial T} \right)_{V} . \left( \frac{\partial T }{\partial P} \right)_{V} }{ \left( \frac{\partial S }{\partial T} \right)_{P} . \left( \frac{\partial T }{\partial V} \right)_{P} } = - \frac{ c_v }{ c_p} . \left( \frac{\partial T }{\partial P} \right)_{V} . \frac{ 1 }{ \alpha . V} </math>
:::: <math> \left( \frac{\partial T }{\partial P} \right)_{V} = - \frac{ \left( \frac{\partial V }{\partial P} \right)_{T} }{ \left( \frac{\partial V }{\partial T} \right)_{P}} = - \frac{ \
donc <math>: \ \ \ \ \chi_S = + \frac{1}{V} . \frac{ c_v }{ c_p} . \frac{ \chi_T }{ \alpha } . ( \alpha . V ) = \frac{ c_v }{ c_p} . \chi_T </math>
| |||